4 citations · 13 across the 12 of their papers we have counts for
12 papers
Boundary actions of outer automorphism groups of Thompson-like groups
Chris Bruce, Xin Li, Takuya Takeishi
For every Cuntz--Krieger groupoid, we show that there is a topologically free boundary action of the outer automorphism group of its topological full group on the Hilbert cube. In…
Groupoid homology and K-theory for algebraic actions from number theory
Chris Bruce, Yosuke Kubota, Takuya Takeishi
We compute the groupoid homology for the ample groupoids associated with algebraic actions from rings of algebraic integers and integral dynamics. We derive results for the homolog…
On the C*-algebra associated with the full adele ring of a number field
Chris Bruce, Takuya Takeishi
The multiplicative group of a number field acts by multiplication on the full adele ring of the field. Generalising a theorem of Laca and Raeburn, we explicitly describe the primit…
Constructing number field isomorphisms from *-isomorphisms of certain crossed product C*-algebras
Chris Bruce, Takuya Takeishi
We prove that the class of crossed product C*-algebras associated with the action of the multiplicative group of a number field on its ring of finite adeles is rigid in the followi…
Limits of KMS states on Toeplitz algebras of finite graphs
Takuya Takeishi
The structure of KMS states of Toeplitz algebras associated to finite graphs equipped with the gauge action is determined by an Huef--Laca--Raeburn--Sims. Their results imply that…
C*-dynamical invariants and Toeplitz algebras of graphs
Chris Bruce, Takuya Takeishi
In recent joint work of the authors with Laca, we precisely formulated the notion of partition function in the context of C*-dynamical systems. Here, we compute the partition funct…
Partition functions as C*-dynamical invariants and actions of congruence monoids
Chris Bruce, Marcelo Laca, Takuya Takeishi
We study the phase transition of KMS states for the C*-algebras of -semigroups of algebraic integers in which the multiplicative part is restricted to a congruence monoid, as…
Reconstructing the Bost--Connes semigroup actions from K-theory
Yosuke Kubota, Takuya Takeishi
We complete the classification of Bost--Connes systems. We show that two Bost--Connes C*-algebras for number fields are isomorphic if and only if the original semigroups actions ar…
Primitive ideals and K-theoretic approach to Bost-Connes systems
Takuya Takeishi
By KMS-classification theorem, the Dedekind zeta function is an invariant of Bost-Connes systems. In this paper, we show that it is in fact an invariant of Bost-Connes -algebr…
Bost-Connes systems for local fields of characteristic zero
Takuya Takeishi
The Bost-Connes system is a -dynamical system which has a relation with the class field theory. The purpose of this paper is to generalize the notion of Bost-Connes systems to…
Irreducible Representations of Bost-Connes systems
Takuya Takeishi
The classification problem of Bost-Connes systems was studied by Cornellissen and Marcolli partially, but still remains unsolved. In this paper, we will give a representation-theor…
On Nuclearity of -algebras of Fell bundles over étale groupoids
Takuya Takeishi
In this paper, we show that if E is a Fell bundle over an amenable étale locally compact Hausdorff groupoid such that every fiber on the unit space is nuclear, then is a…